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Finding the Fourth Proportional to 1,320.59, 1,823.22 and 849.17

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Solution

The fourth proportional to 1,320.59, 1,823.22 and 849.17 is: 1,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.59 : 1,823.22 = 849.17 : x
  2. Step 2: Convert to fraction form
    1,320.59/1,823.22 = 849.17/x
  3. Step 3: Cross multiply
    1,320.59x = 1,823.22 × 849.17
  4. Step 4: Simplify right side
    1,320.59x = 1,548,214.61
  5. Step 5: Solve for x
    x = 1,548,214.61/1,320.59
  6. Step 6: Final answer
    x = 1,172.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.